Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 780, 824, 57, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 824, 57, 767 is 1
GCD(780, 824, 57, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 824, 57, 767 is 1
GCD(780, 824, 57, 767) = 1
Given Input numbers are 780, 824, 57, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 780, 824, 57, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 824, 57, 767 is 1.
Therefore, GCD of numbers 780, 824, 57, 767 is 1
Given Input Data is 780, 824, 57, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 57 is 3 x 19
Prime Factorization of 767 is 13 x 59
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(780, 824) = 160680
GCD(780, 824) = ( 780 x 824 ) / 160680
GCD(780, 824) = 642720 / 160680
GCD(780, 824) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 57) = 228
GCD(4, 57) = ( 4 x 57 ) / 228
GCD(4, 57) = 228 / 228
GCD(4, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 780, 824, 57, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 824, 57, 767?
GCD of 780, 824, 57, 767 is 1
2. Where do I get the detailed procedure to find GCD of 780, 824, 57, 767?
You can find a detailed procedure to find GCD of 780, 824, 57, 767 on our page.
3. How to find GCD of 780, 824, 57, 767 on a calculator?
You can find the GCD of 780, 824, 57, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.